I dont feel its a transmission issue from the way you describe it, and no they dont have noisey transmissions. all cars transmissions and engines make noise though and is normal.
unfortunately there is no way to verify the resevoir, i ran into one where it was the first one that exhibited this and it was the resevoir that was replaced last and fixed it.with the restricted resevoir it causes the pump to work much harder then normal and thus causes the noise.
im not really to familiar with synthetic fluid, chrysler uses atf +4 in there power steering systems, so thats what i stick to. sorry for the delay response, i had to step away from the computer and remove some doors, from a truck im working on.
if you want they allow bonuses to be added after a person accepts an answer.